Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$
In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most fundamental type of univalent function. It is analyzed...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_696650_dcf8eb7e6811fa9ee0ae9935133f9794.pdf |
| _version_ | 1811230840982601728 |
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| author | İsmet Yıldız Oya Mert Alaattin Akyar |
| author_facet | İsmet Yıldız Oya Mert Alaattin Akyar |
| author_sort | İsmet Yıldız |
| collection | DOAJ |
| description | In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most fundamental type of univalent function. It is analyzed some characteristics of starlike and convex functions of order $2^{-r}$. |
| first_indexed | 2024-04-12T10:34:47Z |
| format | Article |
| id | doaj.art-78fb9af74f7144b7bc292d28d1d42941 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-12T10:34:47Z |
| publishDate | 2022-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-78fb9af74f7144b7bc292d28d1d429412022-12-22T03:36:44ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002022-10-0119410911610.22130/scma.2022.541789.1010696650Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$İsmet Yıldız0Oya Mert1Alaattin Akyar2Faculty of Science and Arts, Department of Mathematics, Düzce University, Düzce, Turkey.Faculty of Science and Arts, Department of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ, Turkey.Faculty of Science and Arts, Department of Mathematics, Düzce University, Düzce, Turkey.In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most fundamental type of univalent function. It is analyzed some characteristics of starlike and convex functions of order $2^{-r}$.https://scma.maragheh.ac.ir/article_696650_dcf8eb7e6811fa9ee0ae9935133f9794.pdfanalytic functionconvex functionstarlike functionunivalent function |
| spellingShingle | İsmet Yıldız Oya Mert Alaattin Akyar Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ Sahand Communications in Mathematical Analysis analytic function convex function starlike function univalent function |
| title | Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ |
| title_full | Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ |
| title_fullStr | Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ |
| title_full_unstemmed | Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ |
| title_short | Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ |
| title_sort | convex and starlike functions defined on the subclass of the class of the univalent functions s with order 2 r |
| topic | analytic function convex function starlike function univalent function |
| url | https://scma.maragheh.ac.ir/article_696650_dcf8eb7e6811fa9ee0ae9935133f9794.pdf |
| work_keys_str_mv | AT ismetyıldız convexandstarlikefunctionsdefinedonthesubclassoftheclassoftheunivalentfunctionsswithorder2r AT oyamert convexandstarlikefunctionsdefinedonthesubclassoftheclassoftheunivalentfunctionsswithorder2r AT alaattinakyar convexandstarlikefunctionsdefinedonthesubclassoftheclassoftheunivalentfunctionsswithorder2r |